Answer:
<u><em>x>2</em></u>
Step-by-step explanation:
<u><em>x3+3x2=7x+6</em></u>
<u><em>x3+3x2−(7x+6)=7x+6−(7x+6)</em></u>
<u><em>x3+3x2−7x−6=0</em></u>
<u><em>(x−2)(x2+5x+3)=0</em></u>
<u><em>x−2=0 or x2+5x+3=0</em></u>
<u><em>x=2 or x=−0.6972243622680054 or x=−4.302775637731995</em></u>
<u><em>x<−4.302776</em></u>
<u><em>−4.302776<x<−0.697224</em></u>
<u><em>−0.697224<x<2</em></u>
<u><em>x>2(Works in original inequality)</em></u>
Answer:
1.75 gallons
Step-by-step explanation:
First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...
2 + 1.75 = 3.75 miles
The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...
3.75 - 0.5 = 3.25 miles
Leaving us with a total hiking distance of
3.75 + 3.25 = 7 miles.
Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.
7 * 0.25 = 1.75 gallons
Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.
Answer:C
Step-by-step explanation:
g(x) = 3√(x-5) -1
The process of altering a graph to produce a different version of the preceding graph is known as graph transformation. The graphs can be moved about the x-y plane or translated. They may also be stretched, or they may undergo a mix of these changes.
Horizontal stretching: It means the graph is elongated or shrink in x direction.
Vertical stretching : It means the graph is elongated or shrink in y direction
Vertical translation : It means moving the base of the graph in y direction
Horizontal translation : It means moving the base of the graph in x direction
According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.
Therefore, in order to move the graph down 1 units, we need to subtract given function by 1 , we get
g(x) = 3√x -1
According to rules of transformation f(x+c) shift c units left and f(x-c ) shift c units right.
Therefore, in order to move the graph left by 5 units, we need to add given function by 5 , we get
g(x) = 3√(x-5) -1
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According to graph, GMT time when the plane flew over the beacon was 9:24.
While looking closely at the graph on x axis , one will notice that each hour is divided into 5 parts and hence each part has 12 minutes. looking at y axis, one may find that each part on y axis resembles 20miles. Hence at 280 miles away from Bristol, The GMT time is 9:24.
<h3>What is a graph?</h3>
- In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
- The relationships between two or more items are frequently represented by the points on a graph.
- The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. Vertices (also known as nodes or points) make up a graph in this sense, which are connected by edges (also called links or lines).
- Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically. One of the main topics of study in discrete mathematics is graphs.
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